A few additional factors,
Beaming--a 1" dome beams at over 14KHz which is good enough (look at dispersion charts for results) You can get dome tweeters from 10mm to 30mm but the tiny 10mm versions have very small voice coils so can't handle much power. The larger 30mm ones are generally used for lower crossover points of around 2,000 Hz but will beam earlier--physics can't be denied! The 1" or 25mm dome is a good compromise between efficiency, power handling beaming etc. so quite common.
"All" tweeters are not 1", but most consumer dome speaker tweeters are. Once you jump into compression drivers, the most common is a 1" throat with a compression driver "dome" size of between 1.5 to 2" (38 to 50mm) They use phase plugs etc. at usually make it to around 18KHz without too much trouble. Most of those 1" throat drivers cross at 1,600Hz or higher but their are exceptions, some of them can be crossed over at lower frequencies although you reduce their power capacity--common in consumer speakers that use those drivers. For example, the B&C DE250 normally crosses over at 1,600 Hz at full power (60 watts) but some designs for consumer/home theater use drop it down to 1,200Hz, 1,000 Hz or even--when used with huge horns/waveguides--down to 850 Hz (Earl Geddes does this)
Once you go past around 30mm for a conventional radiating dome, the beaming and respose gets poor over 10,000Hz so most of the 2" domes you see are classified as midranges. For compression drivers, you can increase the "throat" size to 1.4" or 2" but that increases beaming so the large 3" or 4" "domes" in those massive compression drivers are mated to huge horns and used as midranges.
It would be cool if a 3" dome didn't beam--but they do! Infinity back in the 80's made 5" domes and 3" domes for their Kappa series of speakers. The 5" domes were "lower mids" and the 3 inchers were "upper mids" in their 5 way Kappa 8 and Kappa 9 speakers. Big domes = Big hair so now you know!
There is a method to the madness with driver design, once you go against the brick wall of physics--then make your compromises accordingly to whatever design you like.
Hope that helps